Introduction to the thermodynamics of solids
著者
書誌事項
Introduction to the thermodynamics of solids
（Applied mathematics and mathematical computation, 1）
Chapman and Hall, 1991
1st ed
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注記
Bibliographical references: p. [196]-200
Includes index
内容説明・目次
内容説明
Arguing that there is a gap between what is covered in most elementary thermodynamics courses and what is used in current research on nonlinear phenomena encountered in solids, Professor Ericksen has drawn on his experience in research on solids to devise a series of lectures for graduate students from various departments at the University of Minnesota. The aim is to introduce and illustrate uses of various important ideas with analysis which can be done, using elementary mathematics. Often, important applications involve using the thermodynamic theory of equilibrium. In part, this involves a strategy for designing experiments to determine equations of state. Simple strategies are discussed, for thermo-elastic bars and an ideal gas-solid mixture. A simple strategy can fail when instabilities are encountered. Illustrative examples of thermodynamic stability theory include rudimentary analysis of cold-drawing in polymers, martensitic transformations in plates, instabilities in rubber balloons and sheets, peeling tapes, braking bars, buckling of beams and instabilities produced by electromagnetic fields in liquid crystals.
Non-equilibrium theory is illustrated by heat conduction in rigid and deformable bars, including a fairly common way of using the Clausius-Duhem inequality to get thermodynamic restrictions on constitutive equations. Also covered is some elementary one-dimensional theory of shockwaves and slower-moving phase boundaries. Drawing on all these experience, the final chapter treats general ideas in a more abstract way. Included here are discussions of some of the real difficulties encountered in trying to apply thermodynamics to some phenomena, for example plasticity and visco-elasticity, and of differences of opinions of experts, as to what should be considered to be the basic laws.
目次
- Part 1 Generalities: energy, heat and power
- temperature and entropy
- thermodynamic equilibrium. Part 2 Constitutive theory of heat transfer for bars and plates: thermodynamics of rigid bars
- constitutive theory for rigid bars
- constitutive theory for thermoelastic bars
- constitutive theory for shearing of plates
- thermodynamic experiments. Part 3 Equilibrium theory of bars: equilibrium of bars subjected to dead loads
- equilibrium theory of bars and hard devices. Part 4 Equilibrium theory of plates: martensic transformations
- bifurcation diagrams. Part 5 Balloon problems: equilibrium of spherical balloons at fixed pressure
- equilibrium of balloons containing a fixed mass of gas. Part 6 Biaxial stretch of rubber sheets: the idealized problem
- the Treolar instability. Part 7 Moving discontinuities: shock waves in bars
- breaking bars
- a peeling problem
- another peeling problem. Part 8 Mixture theory: general remarks
- elementary theory
- a solid in an ideal gas. Part 9 Equilibrium of liquid crystals and rods: liquid crystal energies
- orientation by fields and walls
- measurement of moduli
- elastica theory. Part 10 Reconsideration of generalities: systems, energy and temperature
- general processes
- static and reversible processes
- cyclic processes and cycles
- states
- laws of classical thermodynamics.
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